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2 years ago

Help me please help me pleaseeee

Mathematics

1 answer:

s2008m [1.1K]2 years ago

3 0

Answer is MGH = 50 degrees

Step by step

If the total FGH is 87 degrees, and you know FGM is 37, take 87 minus 37 = 50

MGH = 50

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Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

6 0

3 years ago

The weight y of a object on Jupiter is proportional to the weight x of the object on earth. An object that weighs 150 ponds on e

mario62 [17]

Answer:

5.02 pounds

Step-by-step explanation:

y = k*x

Where,

y = weight of a object on Jupiter

x = weight of the object on earth

k = constant of proportionality

An object that weighs 150 ponds on earth would weigh 378.2 ponds on Jupiter.

y = k*x

378.2 = k*150

378.2 = 150k

k = 378.2/150

= 2.5213

Approximately k = 2.52

determine how Much a rock that weigh 12.64 on Jupiter would weigh on earth

y = k*x

12.64 = 2.52*x

12.64 = 2.52x

x = 12.64 / 2.52

= 5.0159

Approximately x = 5.02 pounds

6 0

3 years ago

Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value. (f - g)(-3)

Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Substitute: (f - g)(x) = 4x - 2 - (x + 1)
Distribute -1: (f - g)(x) = 4x - 2 - x - 1
Combine like terms: (f - g)(x) = 3x - 3

Find (f - g)(3)

Substitute: (f - g)(3) = 3(3) - 3
Multiply: (f - g)(3) = 9 - 3
Subtract: (f - g)(3) = 6

8 0

3 years ago

Will give brainiest :)

avanturin [10]

Answer:

x= 116°

y= 127°

Step-by-step explanation:

x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch

y.... Angle in a cyclic quadrilateral add up to 180°

hence 180-53=127

6 0

3 years ago

An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain wh

Brums [2.3K]

Answer:

Yes, the aquarium will fit in 15 cubic feet of space.

Step-by-step explanation:

Given:

An aquarium has a base area of 6 square feet and a height of 2 feet.

Now, to find will the aquarium fit in 15 cubic feet of space or not.

So, as given the dimensions:

Base area = 6 square feet.

Height = 2 feet.

Now, to get the volume of aquarium by using formula:

$Volume=base\ area\times height\\\\Volume=6\times 2\\\\Volume=12\ cubic\ feet.$

As, the volume of aquarium is 12 cubic feet.

And, the aquarium to be fit in 15 cubic feet space. So, 15 is more than 12.

Thus, the aquarium will be fit in 15 cubic feet space.

Therefore, the aquarium will fit in 15 cubic feet of space.

7 0

3 years ago